0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.12/0.33	Computer   : n004.cluster.edu
0.12/0.33	Model      : x86_64 x86_64
0.12/0.33	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	RAMPerCPU  : 8042.1875MB
0.12/0.33	OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 960
0.12/0.33	% DateTime   : Tue Aug  9 05:18:05 EDT 2022
0.12/0.33	% CPUTime    : 
37.90/38.02	% SZS status Theorem
37.90/38.02	% Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
37.90/38.02	% Inferences: 0
37.90/38.02	% SZS output start Proof
37.90/38.02	thf(ty_product_prod_nat_nat, type, product_prod_nat_nat : $tType).
37.90/38.02	thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType).
37.90/38.02	thf(ty_option4927543243414619207at_nat, type, option4927543243414619207at_nat : $tType).
37.90/38.02	thf(ty_option_nat, type, option_nat : $tType).
37.90/38.02	thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType).
37.90/38.02	thf(ty_nat, type, nat : $tType).
37.90/38.02	thf(ty_num, type, num : $tType).
37.90/38.02	thf(ty_vEBT_vebt_member, type, vEBT_vebt_member : (vEBT_VEBT>nat>$o)).
37.90/38.02	thf(ty_summary, type, summary : vEBT_VEBT).
37.90/38.02	thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)).
37.90/38.02	thf(ty_za, type, za : nat).
37.90/38.02	thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)).
37.90/38.02	thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
37.90/38.02	thf(ty_pr, type, pr : nat).
37.90/38.02	thf(ty_eigen__0, type, eigen__0 : nat).
37.90/38.02	thf(ty_treeList, type, treeList : list_VEBT_VEBT).
37.90/38.02	thf(ty_some_P7363390416028606310at_nat, type, some_P7363390416028606310at_nat : (product_prod_nat_nat>option4927543243414619207at_nat)).
37.90/38.02	thf(ty_bit0, type, bit0 : (num>num)).
37.90/38.02	thf(ty_deg, type, deg : nat).
37.90/38.02	thf(ty_mi, type, mi : nat).
37.90/38.02	thf(ty_ord_less_nat, type, ord_less_nat : (nat>nat>$o)).
37.90/38.02	thf(ty_xa, type, xa : nat).
37.90/38.02	thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)).
37.90/38.02	thf(ty_one, type, one : num).
37.90/38.02	thf(ty_some_nat, type, some_nat : (nat>option_nat)).
37.90/38.02	thf(ty_vEBT_vebt_maxt, type, vEBT_vebt_maxt : (vEBT_VEBT>option_nat)).
37.90/38.02	thf(ty_size_s6755466524823107622T_VEBT, type, size_s6755466524823107622T_VEBT : (list_VEBT_VEBT>nat)).
37.90/38.02	thf(ty_ma, type, ma : nat).
37.90/38.02	thf(ty_vEBT_Node, type, vEBT_Node : (option4927543243414619207at_nat>nat>list_VEBT_VEBT>vEBT_VEBT>vEBT_VEBT)).
37.90/38.02	thf(ty_product_Pair_nat_nat, type, product_Pair_nat_nat : (nat>nat>product_prod_nat_nat)).
37.90/38.02	thf(ty_divide_divide_nat, type, divide_divide_nat : (nat>nat>nat)).
37.90/38.02	thf(sP1,plain,sP1 <=> ((vEBT_vebt_member @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))),introduced(definition,[new_symbols(definition,[sP1])])).
37.90/38.02	thf(conj_0,conjecture,sP1).
37.90/38.02	thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[conj_0])).
37.90/38.02	thf(h1,assumption,((some_nat @ eigen__0) = (vEBT_vebt_maxt @ ((nth_VEBT_VEBT @ treeList) @ pr))),introduced(assumption,[])).
37.90/38.02	thf(h2,assumption,((ord_less_nat @ za) @ xa),introduced(assumption,[])).
37.90/38.02	thf(h3,assumption,((vEBT_vebt_member @ ((((vEBT_Node @ (some_P7363390416028606310at_nat @ ((product_Pair_nat_nat @ mi) @ ma))) @ deg) @ treeList) @ summary)) @ za),introduced(assumption,[])).
37.90/38.02	thf(h4,assumption,(~((((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))) = ((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))))),introduced(assumption,[])).
37.90/38.02	thf(h5,assumption,((vEBT_vebt_member @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))),introduced(assumption,[])).
37.90/38.02	thf(h6,assumption,((~((za = mi))) => (za = ma)),introduced(assumption,[])).
37.90/38.02	thf(h7,assumption,(~((((ord_less_nat @ ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (size_s6755466524823107622T_VEBT @ treeList)) => (~(sP1))))),introduced(assumption,[])).
37.90/38.02	thf(h8,assumption,(za = mi),introduced(assumption,[])).
37.90/38.02	thf(h9,assumption,(za = ma),introduced(assumption,[])).
37.90/38.02	thf(fact_2_abe,axiom,sP1).
37.90/38.02	thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h4,h2,h3,h1,h0])],[fact_2_abe,h0])).
37.90/38.02	thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h6,h4,h2,h3,h1,h0])],[fact_2_abe,h0])).
37.90/38.02	thf(3,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h4,h2,h3,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,1,2,h8,h9])).
37.90/38.02	thf(h10,assumption,((ord_less_nat @ ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (size_s6755466524823107622T_VEBT @ treeList)),introduced(assumption,[])).
37.90/38.02	thf(h11,assumption,sP1,introduced(assumption,[])).
37.90/38.02	thf(4,plain,$false,inference(tab_conflict,[status(thm),assumptions([h10,h11,h7,h4,h2,h3,h1,h0])],[h11,h0])).
37.90/38.02	thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h10,h11])],[h7,4,h10,h11])).
37.90/38.02	thf(fact_102__C20_C,axiom,((~(((~((za = mi))) => (za = ma)))) => (~((((ord_less_nat @ ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (size_s6755466524823107622T_VEBT @ treeList)) => (~(sP1))))))).
37.90/38.02	thf(6,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h2,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[fact_102__C20_C,3,5,h6,h7])).
37.90/38.02	thf(7,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h5,h2,h3,h1,h0])],[fact_2_abe,h0])).
37.90/38.02	thf(8,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h6,h5,h2,h3,h1,h0])],[fact_2_abe,h0])).
37.90/38.02	thf(9,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h5,h2,h3,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,7,8,h8,h9])).
37.90/38.02	thf(10,plain,$false,inference(tab_conflict,[status(thm),assumptions([h10,h11,h7,h5,h2,h3,h1,h0])],[h11,h0])).
37.90/38.02	thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h10,h11])],[h7,10,h10,h11])).
37.90/38.02	thf(12,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h2,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[fact_102__C20_C,9,11,h6,h7])).
37.90/38.02	thf(fact_4_aaa,axiom,((((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))) = ((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))) => ((vEBT_vebt_member @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))))).
37.90/38.02	thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h3,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[fact_4_aaa,6,12,h4,h5])).
37.90/38.02	thf(fact_312__092_060open_062vebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Az_A_092_060and_062_Az_A_060_Ax_092_060close_062,axiom,(~((((ord_less_nat @ za) @ xa) => (~(((vEBT_vebt_member @ ((((vEBT_Node @ (some_P7363390416028606310at_nat @ ((product_Pair_nat_nat @ mi) @ ma))) @ deg) @ treeList) @ summary)) @ za))))))).
37.90/38.02	thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[fact_312__092_060open_062vebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Az_A_092_060and_062_Az_A_060_Ax_092_060close_062,13,h2,h3])).
37.90/38.02	thf(fact_944__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062maxy_O_ASome_Amaxy_A_061_Avebt__maxt_A_ItreeList_A_B_Apr_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,(~((![X1:nat]:(~(((some_nat @ X1) = (vEBT_vebt_maxt @ ((nth_VEBT_VEBT @ treeList) @ pr))))))))).
37.90/38.02	thf(15,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_944__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062maxy_O_ASome_Amaxy_A_061_Avebt__maxt_A_ItreeList_A_B_Apr_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,14,h1])).
37.90/38.02	thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[15,h0])).
37.90/38.02	% SZS output end Proof
37.90/38.02	EOF